K n

K n
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通讯作者:
R. Sangeetha
R. Sangeetha
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作者:
R. Chinnavedi;R. Sangeetha

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. 设P k +1表示长度为k的路径,C r表示长度为r的循环,k n (λ)表示n个顶点上的完整多图,其中每条边取λ次。本文给出了k n (λ)的a {P k +1, C r r}分解的必要条件,并证明了当k = 4, r r = 6时,这些必要条件也是充分的。
. Let P k +1 denote a path of length k , C ℓ denote a cycle of length ℓ , and K n ( λ ) denote the complete multigraph on n vertices in which every edge is taken λ times. In this paper, we have obtained the necessary conditions for a { P k +1 , C ℓ } -decomposition of K n ( λ ) and proved that the necessary conditions are also sufficient when k = 4 and ℓ = 6.